Sobolev inequality

theorem about inclusions between Sobolev spaces: if 1≤r≤s<∞ and 1/r − k/n = 1/s − l/n, then Wᵏʳ(ℝⁿ) ⊆ Wˡˢ(ℝⁿ)

Wikidata entity: Q3711848

P2534	defining formula	Math	$(1 \leq p \leq p^{} < \infty \land \frac{1}{p^{}} - \frac{k^{}}{n} = \frac{1}{p} - \frac{k}{n}) ⟹ W^{k, p} (ℝ^{n}) \subseteq W^{k^{}, p^{*}} (ℝ^{n})$	???
P31	instance of	...	Q65943 (theorem)	theorem
P6104	maintained by WikiProject	...	Q8487137 (WikiProject Mathematics)	WikiProject Mathematics
P138	named after	...	Q323337 (Sergei Sobolev)	Sergei Sobolev
P361	part of	...	Q944443 (list of theorems)	list of theorems

External Ids

P7554	Encyclopedia of Mathematics article ID	Imbedding_theorems
P646	Freebase ID	/m/0cg4_z
P6366	Microsoft Academic ID (discontinued)	185644265
P10283	OpenAlex ID	C185644265
P10376	ScienceDirect topic ID	mathematics/sobolev-embedding-theorem

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